Equation (REF ) can apply both to passive and active particles [1]}. To investigate the impact of social interaction, we use a passive model for simplicity, which allows us to apply Monte Carlo simulations. We tested our model at different temperatures and density values. We found that the proposed model reproduces radial distribution and angular correlation functions in qualitative agreement with empirical measurements (see SM Section D1). Moreover, for densities comparable to the observed empirical densities, we found mono-peaked local density distributions for high-temperature values corresponding to a gas phase (Fig. 4a), whereas bipeaked distributions for lower temperatures corresponding to a liquid-vapor coexistence phase (Fig. 4b). The insets of Fig. 4a-b demonstrates snapshots of movement patterns for these two phases.
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